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20402122896 = 2432119032
BaseRepresentation
bin10011000000000011…
…111011000010010000
31221122212012020011100
4103000003323002100
5313240420413041
613212252144400
71321404116601
oct230003730220
957585166140
1020402122896
11871a5149a1
123b54768100
131c01ab058c
14db787dda8
157e61ed6b6
hex4c00fb090

20402122896 has 45 divisors (see below), whose sum is σ = 57102405139. Its totient is φ = 6800136288.

The previous prime is 20402122877. The next prime is 20402122901. The reversal of 20402122896 is 69822120402.

The square root of 20402122896 is 142836.

It is a perfect power (a square), and thus also a powerful number.

20402122896 is a `hidden beast` number, since 20 + 402 + 1 + 228 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20402122896.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1708081 + ... + 1719983.

Almost surely, 220402122896 is an apocalyptic number.

20402122896 is the 142836-th square number.

It is an amenable number.

20402122896 is an abundant number, since it is smaller than the sum of its proper divisors (36700282243).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20402122896 is an frugal number, since it uses more digits than its factorization.

20402122896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 20402122896 by its sum of digits (36), we get a square (734476424256 = 8570162).

20402122896 divided by its sum of digits (36) gives a square (566725636 = 238062).

The spelling of 20402122896 in words is "twenty billion, four hundred two million, one hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11903 23806 35709 47612 71418 95224 107127 142836 190448 214254 285672 428508 571344 857016 1714032 141681409 283362818 425044227 566725636 850088454 1133451272 1275132681 1700176908 2266902544 2550265362 3400353816 5100530724 6800707632 10201061448 20402122896